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Finding the Fourth Proportional to 47,574.64, 71,356.56 and 12,517

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Solution

The fourth proportional to 47,574.64, 71,356.56 and 12,517 is: 18,774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,574.64 : 71,356.56 = 12,517 : x
  2. Step 2: Convert to fraction form
    47,574.64/71,356.56 = 12,517/x
  3. Step 3: Cross multiply
    47,574.64x = 71,356.56 × 12,517
  4. Step 4: Simplify right side
    47,574.64x = 893,170,061.52
  5. Step 5: Solve for x
    x = 893,170,061.52/47,574.64
  6. Step 6: Final answer
    x = 18,774.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.